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Consider the function f(x)=1x. What is the vertical asymptote of the function ?f(x)=\frac{1}{x}.\ What\ is\ the\ vertical\ asymptote\ of\ the\ function\ ?f(x)=x1. What is the vertical asymptote of the function ?
x=0x=0x=0
y=0
Fill in the Blank:
The addition of two rational number 13 + 25 =\frac{1}{3}\ +\ \frac{2}{5}\ =31 + 52 = ____________
1115\frac{11}{15}1511 (Rational)
4
10
Consider the function f(x)=1x−1. What is the vertical asymptote of the function ?f(x)=\frac{1}{x-1}.\ What\ is\ the\ vertical\ asymptote\ of\ the\ function\ ?f(x)=x−11. What is the vertical asymptote of the function ?
x=1x=1x=1
y=1y=1y=1
The graph of this f(x)=a(x−h)f\left(x\right)=\frac{a}{\left(x-h\right)}f(x)=(x−h)a + k+\ k+ k s__________.
Horizontal
Hyperbola
Vertical
There is a horizontal asymptote of this rational function f(x)=a(x−h)+kf\left(x\right)=\frac{a}{\left(x-h\right)}+kf(x)=(x−h)a+k at the line ____.
y=ky=ky=k
y≠ky\ne ky=k
y>ky>ky>k
If the horizontal asymptote of a rational function is y=0 , thedegree of the denominator isIf\ the\ horizontal\ asymptote\ of\ a\ rational\ function\ is\ y=0\ ,\ the\deg ree\ of\ the\ deno\min ator\ isIf the horizontal asymptote of a rational function is y=0 , thedegree of the denominator is ___________ the degree of the numerator.the\ \deg ree\ of\ the\ numerator.the degree of the numerator.
Greater than
Less than
Fill in the Blank
1(x−2)\frac{1}{\left(x-2\right)}(x−2)1 is a rational function. the degree of the numerator can be __________,
Zero
One
Infinity
The multiplicative identity of rational numbers is________.
01\frac{0}{1}10
11\frac{1}{1}11
0
The horizontal asymptote of a rational function is the leading coefficients of the numerator and denominator if the degree of the denominator isThe\ horizontal\ asymptote\ of\ a\ rational\ function\ is\ the\ leading\ coefficients\ of\ the\ numerator\ and\ deno\min ator\ if\ the\ \deg ree\ of\ the\ deno\min ator\ isThe horizontal asymptote of a rational function is the leading coefficients of the numerator and denominator if the degree of the denominator is ___________ the degree of the numerator.the\ \deg ree\ of\ the\ numerator.the degree of the numerator.
Equal to
True or false: Rational functions have a range of all real numbers.
True
False
It is done.